A mortality model based on a mixture distribution function

References

• Azzalini, A. 1985. A class of distributions which includes the normal ones, Scandinavian Journal of Statistics 12: 171–178.
   Web of Science ®Google Scholar
• Azzalini, A. and A. Capitanio. 2013. The Skew-Normal and Related Families. Cambridge Books Online: Cambridge University Press.
   Google Scholar
• Booth, H. and L. Tickle. 2008. Mortality modelling and forecasting: a review of methods, Annals of Actuarial Science 3(1–2): 3–43. doi: 10.1017/S1748499500000440
   Google Scholar
• Cheung, S. L. K., J.-M. Robin, E. J.-C. Tu, and G. Caselli. 2005. Three dimensions of the survival curve: horizontalization, verticalization, and longevity extensions, Demography 42: 243–258. doi: 10.1353/dem.2005.0012
   PubMed Web of Science ®Google Scholar
• Congdon, P. 1993. Statistical graduation in local demographic analysis and projection, Journal of the Royal Statistical Society. Series A (Statistics in Society) 156(2): 237–270. doi: 10.2307/2982731
   PubMed Web of Science ®Google Scholar
• Davison, A. C. and D. V. Hinkley. 1997. Bootstrap Methods and Their Application. Cambridge: Cambridge University Press.
   Google Scholar
• De Beer, J. and F. Jansen. 2014. The NIDI Mortality Model. A New Parametric Model to Describe the Age Pattern of Mortality. Technical report, NIDI Working Paper.
   Google Scholar
• Dellaportas, P., A. F. M. Smith, and P. Stavropoulos. 2001. Bayesian analysis of mortality data, Journal of the Royal Statistical Society: Series A (Statistics in Society) 164(2): 275–291. doi: 10.1111/1467-985X.00202
   Web of Science ®Google Scholar
• Elal-Olivero, D., H. Gómez, and F. Quintana. 2009. Bayesian modeling using a class of bimodal skew-elliptical distributions, Journal of Statistical Planning and Inference 139(4): 1484–1492. doi: 10.1016/j.jspi.2008.07.016
   Web of Science ®Google Scholar
• Gage, T. B. and C. J. Mode. 1994. Some laws of mortality: how well do they fit? Human Biology 65(3): 445–461.
   Web of Science ®Google Scholar
• Goldstein, J. and S. Helle. 2011. A secular trend toward earlier male sexual maturity: evidence from shifting ages of male young adult mortality, PLoS ONE 6(8): e14826. doi: 10.1371/journal.pone.0014826
   PubMed Web of Science ®Google Scholar
• Gompertz, B. 1825. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies, Philosophical Transactions of the Royal Society of London 115: 513–585. doi: 10.1098/rstl.1825.0026
   Google Scholar
• Heligman, L. and J. H. Pollard. 1980. The age pattern of mortality, Journal of the Institute of Actuaries 107(1): 49–80. doi: 10.1017/S0020268100040257
   Google Scholar
• Human Mortality Database. 2013. University of California, Berkeley (USA), and Max Planck Institute for Demographic Research (Germany). Available: www.mortality.org or www.humanmortality.de (data downloaded: November 2013).
   Google Scholar
• Lexis, W. 1878. Sur la durée normale de la vie humaine et sur la théorie de la stabilité des rapports statistiques [On the normal duration of human life and the theory of stability of statistical associations], Annales de Démographie Internationale II: 447–462.
   Google Scholar
• Makeham, W. 1860. On the Law of mortality and construction of annuity tables, The Assurance Magazine and Journal of the Institute of Actuaries 8: 301–310. doi: 10.1017/S204616580000126X
   Google Scholar
• Monostori, J., P. Őri, and Z. Spéder (eds). 2015. Demographic Portrait of Hungary. Budapest: Hungarian Demographic Research Institute.
   Google Scholar
• Pearson, K. 1897. The Chances of Death and Other Studies in Evolution, Volume I. London: Edward Arnold.
   Google Scholar
• Rocha, G. H., R. H. Loschi, and R. B. Arellano-Valle. 2013. Inference in flexible families of distributions with normal kernel, Statistics: A Journal of Theoretical and Applied Statistics 47(6): 1184–1206. doi: 10.1080/02331888.2012.688207
   Web of Science ®Google Scholar
• Rogers, A. 1986. Parameterized multistate population dynamics and projections, Journal of the American Statistical Association 81: 48–61. doi: 10.1080/01621459.1986.10478237
   PubMed Web of Science ®Google Scholar
• Sharrow, D. J., S. J. Clark, M. A. Collinson, K. Kahn, and S. M. Tollman. 2013. The age pattern of increases in mortality affected by HIV: Bayesian fit of the Heligman–Pollard model to data from the Agincourt HDSS field site in rural northeast South Africa, Demographic Research 29: 1039–1096. doi: 10.4054/DemRes.2013.29.39
   PubMed Web of Science ®Google Scholar
• Siler, W. 1979. A competing-risk model for animal mortality, Ecology 60(4): 750–757. doi: 10.2307/1936612
   Web of Science ®Google Scholar
• Siler, W. 1983. Parameters of mortality in human populations with widely varying life spans, Statistics in Medicine 2: 373–380. doi: 10.1002/sim.4780020309
   PubMedGoogle Scholar
• Tabeau, E., A. Van den Bergh Jets, and C. Heathcote (eds). 2001. Forecasting Mortality in Developed Countries. Insights from a Statistical, Demographic and Epidemiological Perspective. Dordrecht: Kluwer Academic Publishers.
   Google Scholar
• Wheldon, M. C., A. E. Raftery, S. J. Clark, and P. Gerland. 2013. Reconstructing past populations With uncertainty from fragmentary data, Journal of the American Statistical Association 108: 795–822. doi: 10.1080/01621459.2012.737729
   Web of Science ®Google Scholar